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arXiv · 1508.02747

SRB measures for diffeomorphisms with continuous invariant splittings

Zeya Mi·Yongluo Cao·Dawei Yang
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Abstract

We study the existence of SRB measures of C 2 diffeomorphisms for attractors whose bundles admit Holder continuous invariant (non-dominated) splittings. We prove the existence when one subbundle has the non-uniform expanding property on a set with positive Lebesgue measure and the other subbundle admits non-positive Lyapunov exponents on a total probability set.

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Zeya Mi, Yongluo Cao, Dawei Yang. 2015-08-11. SRB measures for diffeomorphisms with continuous invariant splittings. https://arxiv.org/abs/1508.02747

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